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The scale factor of two similar polygons is 4:5. The perimeter of the larger polygon is 120 ft. What is the perimeter of the smaller polygon?

The scale factor of two similar polygons is 4:5. The perimeter of the larger polygon is 120 ft. What is the perimeter of the smaller polygon? class=

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[tex]\bf \cfrac{\textit{small polygon}}{\textit{large polygon}}\qquad \qquad \stackrel{\textit{scale factor}}{\cfrac{4}{5}}=\stackrel{\textit{perimeters}}{\cfrac{x}{120}}\implies 480=5x \\\\\\ \cfrac{480}{5}=x\implies 96=x[/tex]

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